Order Statistics, Third Edition

By H. A. David, Haikady N. Nagaraja. Wiley Series in Probability and Statistics, 2005

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The new class of Kummer beta generalized distributions: theory and applications (2013, background): “See Arnold et al. (1992), David and Nagaraja (2003) and Ahsanullah and Nevzorov (2005) for excellent accounts.”
Exact inference for a simple step-stress model from the exponential distribution under time constraint (2009, neutral): “Then, the joint conditional PDF of T1:n, . . . , TN1+N2:n, given N1 = i and N2 = j, is [see Arnold, Balakrishnan and Nagaraja (1992), and David and Nagaraja (2003)] f ( t1 , . . . , ti+j |N1 = i,N2 = j ) = Rij · exp { − 1 θ1 i∑ k=1 t k − 1 θ2 i+j∑ k=i+1 ( t k − τ1 ) } , 0 < t1 < · · · < ti ≤ τ1 <…”
Statistical analysis of exponential lifetimes under an adaptive Type‐II progressive censoring scheme (2009, background): “From the basic properties of order statistics (see, for example, David and Nagaraja [10], Section 4.4), we know that the fewer operating items are withdrawn (i.e., the larger the number of items on the test), the smaller the expected total test time (Ng and Chan [19]).”